Finite Group Databasebeta

← #35610321

Subgroups — #35610321

Order 21248.

3202 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128234C211yesmaximal, characteristic, complemented
2C22×C42×D83C211yesmaximal, characteristic, complemented
3#24915798C211yesmaximal, characteristic, complemented
4#24915790C211yesmaximal, characteristic, complemented
5#24915787C211yesmaximal, characteristic, complemented
6#24915783C211yesmaximal, characteristic, complemented
7#24915779C211yesmaximal, characteristic, complemented
8#24915778C211yesmaximal, characteristic, complemented
9#24915775C211yesmaximal, characteristic, complemented
10#24915770C211yesmaximal, characteristic, complemented
11#24915769C211yesmaximal, characteristic, complemented
12#24915761C211yesmaximal, characteristic, complemented
13#24915760C211yesmaximal, characteristic, complemented
14#24915758C211yesmaximal, characteristic, complemented
15#24915754C211yesmaximal, characteristic, complemented
16#24915749C211yesmaximal, characteristic, complemented
17#24915744C211yesmaximal, characteristic
18#24909997C211yesmaximal, characteristic, complemented
19#24909995C211yesmaximal, characteristic, complemented
20#24909990C211yesmaximal, characteristic, complemented
21#24909984C211yesmaximal, characteristic, complemented
22#24909975C211yesmaximal, characteristic, complemented
23#24909973C211yesmaximal, characteristic, complemented
24#24909968C211yesmaximal, characteristic, complemented
25#24909964C211yesmaximal, characteristic, complemented
26#24909905C211yesmaximal, characteristic, complemented
27#24909903C211yesmaximal, characteristic, complemented
28#24909901C211yesmaximal, characteristic, complemented
29#24909899C211yesmaximal, characteristic, complemented
30#24909860C211yesmaximal, characteristic, complemented
31C83×#2852C211yesmaximal, characteristic, complemented
32C23×C4×D83C2211yescharacteristic
33C23×C4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35#19128234—28no—
36C2×#14581786C2211yescharacteristic, complemented
37C2×#14581782C2211yescharacteristic, complemented
38C2×#14581778C2211yescharacteristic, complemented
39C2×#14581777C2211yescharacteristic
40C2×#14581777C2211yescharacteristic
41C2×#14581774C2211yescharacteristic
42C2×#14581774C2211yescharacteristic
43C2×#14581770C2211yescharacteristic
44C2×#14581770C2211yescharacteristic
45C2×#14581769C2211yescharacteristic
46C2×#14581765C2211yescharacteristic
47C2×#14581765C2211yescharacteristic
48C2×#14581764C2211yescharacteristic
49C2×#14581762C2211yescharacteristic
50C2×#14581760C2211yescharacteristic
51C2×#14581757C2211yescharacteristic, complemented
52C2×D4×Dic83C2211yescharacteristic
53C2×#14581754C2211yescharacteristic
54C2×#14581754C2211yescharacteristic
55C2×(C22⋊D83)⋊C4C2211yescharacteristic
56C2×(C22⋊D83)⋊C4C2211yescharacteristic
57C2×(C22⋊D83)⋊C4C2211yescharacteristic
58C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
59C2×#14581750C2211yescharacteristic, complemented
60C2×#14581748C2211yescharacteristic, complemented
61C22×C4×Dic83C2211yescharacteristic
62C22×C4×Dic83C2211yescharacteristic
63C22×C4×Dic83C2211yescharacteristic
64C2×C42×D83—28no—
65C2×C42×D83C2211yescharacteristic
66C2×C42×D83C2211yescharacteristic
67C2×C42×D83C2211yescharacteristic
68C2×C42×D83C2211yescharacteristic
69C2×C42×D83C2211yescharacteristic
70C2×C42×D83C2211yescharacteristic
71C2×C42×D83C2211yescharacteristic
72C2×C42×D83C2211yescharacteristic
73#19127605C2211yescharacteristic, complemented
74#19127605C2211yescharacteristic, complemented
75#19127601C2211yescharacteristic, complemented
76#19127601C2211yescharacteristic, complemented
77#19127598C2211yescharacteristic, complemented
78#19127598C2211yescharacteristic, complemented
79#19127596C2211yescharacteristic, complemented
80#19127596C2211yescharacteristic, complemented
81#19127595C2211yescharacteristic, complemented
82#19127594C2211yescharacteristic, complemented
83#19127593C2211yescharacteristic, complemented
84#19127593C2211yescharacteristic, complemented
85#19127593C2211yescharacteristic, complemented
86#19127592C2211yescharacteristic, complemented
87#19127592C2211yescharacteristic, complemented
88#19127592C2211yescharacteristic, complemented
89#19127591C2211yescharacteristic, complemented
90#19127590C2211yescharacteristic, complemented
91#19127589C2211yescharacteristic, complemented
92#19127589C2211yescharacteristic, complemented
93#19127589C2211yescharacteristic, complemented
94#19127588C2211yescharacteristic, complemented
95#19127587C2211yescharacteristic, complemented
96#19127586C2211yescharacteristic, complemented
97#19127586C2211yescharacteristic, complemented
98#19127586C2211yescharacteristic, complemented
99#19127585C2211yescharacteristic, complemented
100#19127585C2211yescharacteristic, complemented
101#19127585C2211yescharacteristic, complemented
102#19127584C2211yescharacteristic, complemented
103#19127583C2211yescharacteristic, complemented
104#19127582C2211yescharacteristic, complemented
105#19127582C2211yescharacteristic, complemented
106#19127582C2211yescharacteristic, complemented
107#19127581C2211yescharacteristic
108#19127580C2211yescharacteristic
109#19127580C2211yescharacteristic
110#19127580C2211yescharacteristic
111#19127579C2211yescharacteristic
112#19127579C2211yescharacteristic
113#19127579C2211yescharacteristic
114#19127579C2211yescharacteristic
115#19127579C2211yescharacteristic
116#19127579C2211yescharacteristic
117#19127578C2211yescharacteristic
118#19127577C2211yescharacteristic
119#19127577C2211yescharacteristic
120#19127577C2211yescharacteristic
121#19127577C2211yescharacteristic
122#19127577C2211yescharacteristic
123#19127577C2211yescharacteristic
124#19127576C2211yescharacteristic
125#19127575C2211yescharacteristic
126#19127575C2211yescharacteristic
127#19127575C2211yescharacteristic
128#19127575C2211yescharacteristic
129#19127575C2211yescharacteristic
130#19127575C2211yescharacteristic
131#19127574C2211yescharacteristic
132#19127574C2211yescharacteristic
133#19127574C2211yescharacteristic
134#19127573C2211yescharacteristic
135#19127572C2211yescharacteristic
136#19127572C2211yescharacteristic
137#19127572C2211yescharacteristic
138#19127572C2211yescharacteristic
139#19127572C2211yescharacteristic
140#19127572C2211yescharacteristic
141#19127569C2211yescharacteristic, complemented
142#19127565C2211yescharacteristic, complemented
143#19127565C2211yescharacteristic, complemented
144#19127563C2211yescharacteristic
145#19127563C2211yescharacteristic
146#19127563C2211yescharacteristic
147#19127563C2211yescharacteristic
148#19127560C2211yescharacteristic
149#19127560C2211yescharacteristic
150#19127560C2211yescharacteristic
151#19127560C2211yescharacteristic
152#19127559C2211yescharacteristic
153#19127559C2211yescharacteristic
154#19127556C2211yescharacteristic
155#19127556C2211yescharacteristic
156C4⋊C4×Dic83C2211yescharacteristic, complemented
157C4⋊C4×Dic83C2211yescharacteristic, complemented
158#19127552C2211yescharacteristic, complemented
159#19127552C2211yescharacteristic, complemented
160#19127552C2211yescharacteristic, complemented
161#19127552C2211yescharacteristic, complemented
162C22⋊C4×Dic83C2211yescharacteristic
163C22⋊C4×Dic83C2211yescharacteristic
164C22⋊C4×Dic83C2211yescharacteristic, complemented
165C22⋊C4×Dic83C2211yescharacteristic, complemented
166#19127548C2211yescharacteristic
167#19127548C2211yescharacteristic
168#19127548C2211yescharacteristic
169#19127548C2211yescharacteristic
170#19127548C2211yescharacteristic, complemented
171#19127548C2211yescharacteristic, complemented
172#19127546C2211yescharacteristic, complemented
173#19127546C2211yescharacteristic, complemented
174C2×#126×C83C2211yescharacteristic, complemented
175C22×C42×C83C2211yescharacteristic
176#388×C83C2211yescharacteristic, complemented
177#388×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#387×C83C2211yescharacteristic, complemented
182#386×C83C2211yescharacteristic
183#386×C83C2211yescharacteristic
184#386×C83C2211yescharacteristic
185#385×C83C2211yescharacteristic
186#385×C83C2211yescharacteristic
187#385×C83C2211yescharacteristic
188#383×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C22×Dic166C2311yescharacteristic
191C22×D332C2311yescharacteristic
192C22×D332C2311yescharacteristic
193C22×C22⋊D83C2311yescharacteristic
194C22×C22⋊D83C2311yescharacteristic
195C22×C22⋊D83C2311yescharacteristic
196C22×C22⋊D83C2311yescharacteristic
197C23×Dic83C2311yescharacteristic
198C23×Dic83C2311yescharacteristic
199C23×Dic83C2311yescharacteristic
200C23×Dic83C2311yescharacteristic
201C22×C4×D83—24no—
202C22×C4×D83—24no—
203C22×C4×D83—24no—
204C22×C4×D83—24no—
205C22×C4×D83—24no—
206C22×C4×D83—24no—
207C22×C4×D83—24no—
208C22×C4×D83—24no—
209C22×C4×D83—24no—
210C22×C4×D83C2311yescharacteristic
211C22×C4×D83C2311yescharacteristic
212C22×C4×D83C2311yescharacteristic
213C22×C4×D83C2311yescharacteristic
214C22×C4×D83C2311yescharacteristic
215C22×C4×D83C2311yescharacteristic
216C22×C4×D83C2311yescharacteristic
217C22×C4×D83C2311yescharacteristic
218C22×C4×D83C2311yescharacteristic
219C22×C4×D83C2311yescharacteristic
220C22×C4×D83C2311yescharacteristic
221C22×C4×D83C2311yescharacteristic
222C22×C4×D83C2311yescharacteristic
223#14581786—24no—
224#14581782—24no—
225#14581778—24no—
226#14581777—24no—
227#14581777—24no—
228#14581774—24no—
229#14581774—24no—
230#14581770—24no—
231#14581770—24no—
232#14581769—24no—
233#14581765—24no—
234#14581765—24no—
235#14581764—24no—
236#14581762—24no—
237#14581760—24no—
238#14581757—24no—
239D4×Dic83—24no—
240#14581754—24no—
241#14581754—24no—
242(C22⋊D83)⋊C4—24no—
243(C22⋊D83)⋊C4—24no—
244(C22⋊D83)⋊C4—24no—
245(C22⋊D83)⋊C4—24no—
246#14581750—24no—
247#14581748—24no—
248C2×C4⋊Dic83C2311yescharacteristic
249C2×C4⋊Dic83C2311yescharacteristic
250C2×C4⋊Dic83C2311yescharacteristic
251C2×C4⋊Dic83C2311yescharacteristic
252C2×Dic83⋊C4C2311yescharacteristic
253C2×Dic83⋊C4C2311yescharacteristic
254C2×Dic83⋊C4C2311yescharacteristic
255C2×Dic83⋊C4C2311yescharacteristic
256C2×Dic83⋊C4C2311yescharacteristic
257C2×Dic83⋊C4C2311yescharacteristic
258C2×Dic83⋊C4C2311yescharacteristic
259C2×Dic83⋊C4C2311yescharacteristic
260C2×Dic83⋊C4C2311yescharacteristic
261C2×Dic83⋊C4C2311yescharacteristic
262C2×Dic83⋊C4C2311yescharacteristic
263C2×Dic83⋊C4C2311yescharacteristic
264C2×Dic83⋊C4C2311yescharacteristic
265C2×Dic83⋊C4C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×C22⋊Dic83C2311yescharacteristic
269C2×C22⋊Dic83C2311yescharacteristic
270C2×C22⋊Dic83C2311yescharacteristic
271C2×C22⋊Dic83C2311yescharacteristic
272C2×C22⋊Dic83C2311yescharacteristic
273C2×C22⋊Dic83C2311yescharacteristic
274C2×C22⋊Dic83C2311yescharacteristic
275C2×(C2×D83)⋊C4C2311yescharacteristic
276C2×(C2×D83)⋊C4C2311yescharacteristic
277C2×(C2×D83)⋊C4C2311yescharacteristic
278C2×(C2×D83)⋊C4C2311yescharacteristic
279C2×(C2×D83)⋊C4C2311yescharacteristic
280C2×(C2×D83)⋊C4C2311yescharacteristic
281C2×(C2×D83)⋊C4C2311yescharacteristic
282C2×(C2×D83)⋊C4C2311yescharacteristic
283C2×(C2×D83)⋊C4C2311yescharacteristic
284C2×(C2×D83)⋊C4C2311yescharacteristic
285C2×(C2×D83)⋊C4C2311yescharacteristic
286C2×(C2×D83)⋊C4C2311yescharacteristic
287C2×(C2×D83)⋊C4C2311yescharacteristic
288C2×(C2×D83)⋊C4C2311yescharacteristic
289C2×(C2×D83)⋊C4C2311yescharacteristic
290C2×(C2×D83)⋊C4C2311yescharacteristic
291C2×(C2×D83)⋊C4C2311yescharacteristic
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×C4×Dic83—24no—
298C2×C4×Dic83—24no—
299C2×C4×Dic83—24no—
300C2×C4×Dic83C2311yescharacteristic
301C2×C4×Dic83C2311yescharacteristic
302C2×C4×Dic83C2311yescharacteristic
303C2×C4×Dic83C2311yescharacteristic
304C2×C4×Dic83C2311yescharacteristic
305C2×C4×Dic83C2311yescharacteristic
306C2×C4×Dic83C2311yescharacteristic
307C2×C4×Dic83C2311yescharacteristic
308C2×C4×Dic83C2311yescharacteristic
309C2×C4×Dic83C2311yescharacteristic
310C2×C4×Dic83C2311yescharacteristic
311C2×C4×Dic83C2311yescharacteristic
312C2×C4×Dic83C2311yescharacteristic
313C2×C4×Dic83C2311yescharacteristic
314C2×C4×Dic83C2311yescharacteristic
315C2×C4×Dic83C2311yescharacteristic
316C2×C4×Dic83C2311yescharacteristic
317C2×C4×Dic83C2311yescharacteristic
318C42×D83—24no—
319C42×D83—24no—
320C42×D83—24no—
321C42×D83—24no—
322C42×D83—24no—
323C42×D83—24no—
324C42×D83—24no—
325C42×D83D418yescomplemented
326C83⋊#95C2311yescharacteristic
327C83⋊#95C2311yescharacteristic
328C83⋊#95C2311yescharacteristic
329C83⋊#95C2311yescharacteristic
330C83⋊#95C2311yescharacteristic
331C83⋊#95C2311yescharacteristic
332C83⋊#95C2311yescharacteristic
333C83⋊#95C2311yescharacteristic
334C83⋊#95C2311yescharacteristic
335C83⋊#95C2311yescharacteristic
336C83⋊#95C2311yescharacteristic
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C22×D4×C83C2311yescharacteristic
355C23×C4×C83C2311yescharacteristic
356C23×C4×C83C2311yescharacteristic
357C23×C4×C83C2311yescharacteristic
358#126×C83—24no—
359C2×C4⋊C4×C83C2311yescharacteristic
360C2×C4⋊C4×C83C2311yescharacteristic
361C2×C4⋊C4×C83C2311yescharacteristic
362C2×C4⋊C4×C83C2311yescharacteristic
363C2×C4⋊C4×C83C2311yescharacteristic
364C2×C4⋊C4×C83C2311yescharacteristic
365C2×C22⋊C4×C83C2311yescharacteristic
366C2×C22⋊C4×C83C2311yescharacteristic
367C2×C22⋊C4×C83C2311yescharacteristic
368C2×C22⋊C4×C83C2311yescharacteristic
369C2×C22⋊C4×C83C2311yescharacteristic
370C2×C22⋊C4×C83C2311yescharacteristic
371C2×C22⋊C4×C83C2311yescharacteristic
372C2×C22⋊C4×C83C2311yescharacteristic
373C2×C22⋊C4×C83C2311yescharacteristic
374C2×C42×C83—24no—
375C2×C42×C83C2311yescharacteristic
376C2×C42×C83C2311yescharacteristic
377C2×C42×C83C2311yescharacteristic
378C2×C42×C83C2311yescharacteristic
379#95×C83C2311yescharacteristic
380#95×C83C2311yescharacteristic
381#95×C83C2311yescharacteristic
382#95×C83C2311yescharacteristic
383#95×C83C2311yescharacteristic
384#95×C83C2311yescharacteristic
385#95×C83C2311yescharacteristic
386#95×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391C23×D83—22no—
392C23×D83—22no—
393C23×D83—22no—
394C23×D83—22no—
395C23×D83—22no—
396C23×D83—22no—
397C23×D83#4114yes—
398C23×D83C2411yescharacteristic
399C23×D83C2411yescharacteristic
400C23×D83C2411yescharacteristic
401C2×Dic166—22no—
402C2×Dic166—22no—
403C2×Dic166—22no—
404C2×D332—22no—
405C2×D332—22no—
406C2×D332—22no—
407C2×D332—22no—
408C2×D332—22no—
409C2×D332—22no—
410C2×C22⋊D83—22no—
411C2×C22⋊D83—22no—
412C2×C22⋊D83—22no—
413C2×C22⋊D83—22no—
414C2×C22⋊D83—22no—
415C2×C22⋊D83—22no—
416C2×C22⋊D83—22no—
417C2×C22⋊D83—22no—
418C2×C22⋊D83—22no—
419C2×C22⋊D83—22no—
420C2×C22⋊D83—22no—
421C2×C22⋊D83—22no—
422C22×Dic83—22no—
423C22×Dic83—22no—
424C22×Dic83—22no—
425C22×Dic83—22no—
426C22×Dic83—22no—
427C22×Dic83—22no—
428C22×Dic83—22no—
429C22×Dic83—22no—
430C22×Dic83—22no—
431C22×Dic83—22no—
432C22×Dic83#4114yes—
433C22×Dic83#4114yes—
434C22×Dic83C2411yescharacteristic
435C22×Dic83C2411yescharacteristic
436C22×Dic83C2411yescharacteristic
437C22×Dic83C2411yescharacteristic
438C22×Dic83C2411yescharacteristic
439C22×Dic83C2411yescharacteristic
440C22×Dic83C2411yescharacteristic
441C22×Dic83C2411yescharacteristic
442C22×Dic83C2411yescharacteristic
443C22×Dic83C2411yescharacteristic
444C22×Dic83C2411yescharacteristic
445C22×Dic83C2411yescharacteristic
446C22×Dic83C2411yescharacteristic
447C2×C4×D83—232no—
448C2×C4×D83—232no—
449C2×C4×D83—232no—
450C2×C4×D83—22no—
451C2×C4×D83—22no—
452C2×C4×D83—22no—
453C2×C4×D83—22no—
454C2×C4×D83—22no—
455C2×C4×D83—22no—
456C2×C4×D83—22no—
457C2×C4×D83—22no—
458C2×C4×D83—22no—
459C2×C4×D83—22no—
460C2×C4×D83—22no—
461C2×C4×D83—22no—
462C2×C4×D83—22no—
463C2×C4×D83—22no—
464C2×C4×D83—22no—
465C2×C4×D83—22no—
466C2×C4×D83—22no—
467C2×C4×D83—22no—
468C2×C4×D83—22no—
469C2×C4×D83—22no—
470C2×C4×D83—22no—
471C2×C4×D83—22no—
472C2×C4×D83—22no—
473C2×C4×D83—22no—
474C2×C4×D83—22no—
475C2×C4×D83—22no—
476C2×C4×D83—22no—
477C2×C4×D83—22no—
478C2×C4×D83—22no—
479C2×C4×D83—22no—
480C2×C4×D83—22no—
481C2×C4×D83—22no—
482C2×C4×D83—22no—
483C2×C4×D83C2×D414yes—
484C2×C4×D83C2×D414yes—
485C2×C4×D83C2×D414yes—
486C2×C4×D83#4114yes—
487C2×C4×D83#4114yes—
488C2×C4×D83#4114yes—
489C4⋊Dic83—22no—
490C4⋊Dic83—22no—
491C4⋊Dic83—22no—
492C4⋊Dic83—22no—
493Dic83⋊C4—22no—
494Dic83⋊C4—22no—
495Dic83⋊C4—22no—
496Dic83⋊C4—22no—
497Dic83⋊C4—22no—
498Dic83⋊C4—22no—
499Dic83⋊C4—22no—
500Dic83⋊C4—22no—
501Dic83⋊C4—22no—
502Dic83⋊C4—22no—
503Dic83⋊C4—22no—
504Dic83⋊C4—22no—
505Dic83⋊C4—22no—
506Dic83⋊C4—22no—
507Dic83⋊C4—22no—
508Dic83⋊C4—22no—
509C22⋊Dic83—22no—
510C22⋊Dic83—22no—
511C22⋊Dic83—22no—
512C22⋊Dic83—22no—
513C22⋊Dic83—22no—
514C22⋊Dic83—22no—
515C22⋊Dic83—22no—
516(C2×D83)⋊C4—22no—
517(C2×D83)⋊C4—22no—
518(C2×D83)⋊C4—22no—
519(C2×D83)⋊C4—22no—
520(C2×D83)⋊C4—22no—
521(C2×D83)⋊C4—22no—
522(C2×D83)⋊C4—22no—
523(C2×D83)⋊C4—22no—
524(C2×D83)⋊C4—22no—
525(C2×D83)⋊C4—22no—
526(C2×D83)⋊C4—22no—
527(C2×D83)⋊C4—22no—
528(C2×D83)⋊C4—22no—
529(C2×D83)⋊C4—22no—
530(C2×D83)⋊C4—22no—
531(C2×D83)⋊C4—22no—
532(C2×D83)⋊C4—22no—
533(C2×D83)⋊C4—22no—
534(C2×D83)⋊C4—22no—
535(C2×D83)⋊C4—22no—
536(C2×D83)⋊C4—22no—
537(C2×D83)⋊C4—22no—
538C4×Dic83—22no—
539C4×Dic83—22no—
540C4×Dic83—22no—
541C4×Dic83—22no—
542C4×Dic83—22no—
543C4×Dic83—22no—
544C4×Dic83—22no—
545C4×Dic83—22no—
546C4×Dic83—22no—
547C4×Dic83—22no—
548C4×Dic83—22no—
549C4×Dic83—22no—
550C4×Dic83—22no—
551C4×Dic83—22no—
552C4×Dic83—22no—
553C4×Dic83C2×D414yes—
554C4×Dic83C2×D414yes—
555C4×Dic83C2×D414yes—
556C24×C83C2411yescharacteristic
557C24×C83C2411yescharacteristic
558C2×D4×C83—22no—
559C2×D4×C83—22no—
560C2×D4×C83—22no—
561C22×C4×C83—22no—
562C22×C4×C83—22no—
563C22×C4×C83—22no—
564C22×C4×C83—22no—
565C22×C4×C83—22no—
566C22×C4×C83—22no—
567C22×C4×C83—22no—
568C22×C4×C83—22no—
569C22×C4×C83—22no—
570C22×C4×C83C2411yescharacteristic
571C22×C4×C83C2411yescharacteristic
572C22×C4×C83C2411yescharacteristic
573C22×C4×C83C2411yescharacteristic
574C22×C4×C83C2411yescharacteristic
575C22×C4×C83C2411yescharacteristic
576C22×C4×C83C2411yescharacteristic
577C22×C4×C83C2411yescharacteristic
578C22×C4×C83C2411yescharacteristic
579C22×C4×C83C2411yescharacteristic
580C22×C4×C83C2411yescharacteristic
581C22×C4×C83C2411yescharacteristic
582C22×C4×C83C2411yescharacteristic
583C4⋊C4×C83—22no—
584C4⋊C4×C83—22no—
585C4⋊C4×C83—22no—
586C4⋊C4×C83—22no—
587C4⋊C4×C83—22no—
588C4⋊C4×C83—22no—
589C22⋊C4×C83—22no—
590C22⋊C4×C83—22no—
591C22⋊C4×C83—22no—
592C22⋊C4×C83—22no—
593C22⋊C4×C83—22no—
594C22⋊C4×C83—22no—
595C22⋊C4×C83—22no—
596C22⋊C4×C83—22no—
597C22⋊C4×C83—22no—
598C42×C83—22no—
599C42×C83—22no—
600C42×C83—22no—
601C42×C83C2×D414yes—
602C23×C83—21no—
603C23×C83—21no—
604C23×C83—21no—
605C23×C83—21no—
606C23×C83—21no—
607C23×C83—21no—
608C23×C83—21no—
609C23×C83—21no—
610C23×C83—21no—
611C23×C83—21no—
612C23×C83—21no—
613C23×C83C2×#4112yes—
614C23×C83C2×#4112yes—
615C23×C83C2×#4112yes—
616C23×C83C2511yescharacteristic
617C22×D83—28no—
618C22×D83—28no—
619C22×D83—28no—
620C22×D83—28no—
621C22×D83—28no—
622C22×D83—21no—
623C22×D83—21no—
624C22×D83—21no—
625C22×D83—21no—
626C22×D83—21no—
627C22×D83—21no—
628C22×D83—21no—
629C22×D83—21no—
630C22×D83—28no—
631C22×D83—28no—
632C22×D83—21no—
633C22×D83—21no—
634C22×D83—21no—
635C22×D83—21no—
636C22×D83—21no—
637C22×D83—21no—
638C22×D83—21no—
639C22×D83C22×D412yes—
640C22×D83C2×#4112yes—
641C22×D83C2×#4112yes—
642C22×D83C2×#4112yes—
643C22×D83C2×#4112yes—
644C22×D83C2×#4112yes—
645D4×C83—44no—
646C2×C4×C83—28no—
647C2×C4×C83—28no—
648C2×C4×C83—28no—
649C2×C4×C83—21no—
650C2×C4×C83—21no—
651C2×C4×C83—21no—
652C2×C4×C83—21no—
653C2×C4×C83—21no—
654C2×C4×C83—21no—
655C2×C4×C83—21no—
656C2×C4×C83—21no—
657C2×C4×C83—21no—
658C2×C4×C83—21no—
659C2×C4×C83—21no—
660C2×C4×C83—21no—
661C2×C4×C83—21no—
662C2×C4×C83—21no—
663C2×C4×C83—21no—
664C2×C4×C83—21no—
665C2×C4×C83—21no—
666C2×C4×C83—21no—
667C2×C4×C83—21no—
668C2×C4×C83—21no—
669C2×C4×C83—21no—
670C2×C4×C83—21no—
671C2×C4×C83—21no—
672C2×C4×C83—21no—
673C2×C4×C83—21no—
674C2×C4×C83—21no—
675C2×C4×C83—21no—
676C2×C4×C83—21no—
677C2×C4×C83—21no—
678C2×C4×C83—21no—
679C2×C4×C83—21no—
680C2×C4×C83—21no—
681C2×C4×C83—21no—
682C2×C4×C83C22×D412yes—
683C2×C4×C83C22×D412yes—
684C2×C4×C83C22×D412yes—
685C2×C4×C83C2×#4112yes—
686C2×C4×C83C2×#4112yes—
687C2×C4×C83C2×#4112yes—
688C22⋊D83—44no—
689C22⋊D83—44no—
690C22⋊D83—44no—
691C22⋊D83—44no—
692C2×Dic83—28no—
693C2×Dic83—21no—
694C2×Dic83—21no—
695C2×Dic83—21no—
696C2×Dic83—21no—
697C2×Dic83—21no—
698C2×Dic83—21no—
699C2×Dic83—21no—
700C2×Dic83—21no—
701C2×Dic83—28no—
702C2×Dic83—28no—
703C2×Dic83—21no—
704C2×Dic83—21no—
705C2×Dic83—21no—
706C2×Dic83—21no—
707C2×Dic83—21no—
708C2×Dic83—21no—
709C2×Dic83—21no—
710C2×Dic83—21no—
711C2×Dic83—21no—
712C2×Dic83—21no—
713C2×Dic83—21no—
714C2×Dic83—21no—
715C2×Dic83—21no—
716C2×Dic83—21no—
717C2×Dic83—21no—
718C2×Dic83—21no—
719C2×Dic83—21no—
720C2×Dic83—21no—
721C2×Dic83—21no—
722C2×Dic83—21no—
723C2×Dic83—21no—
724C2×Dic83—44no—
725C2×Dic83C22×D412yes—
726C2×Dic83C22×D412yes—
727C2×Dic83C22×D412yes—
728C2×Dic83C2×#4112yes—
729C2×Dic83C2×#4112yes—
730C2×Dic83C2×#4112yes—
731C2×Dic83C2×#4112yes—
732C2×Dic83C2×#4112yes—
733C2×Dic83C2×#4112yes—
734C2×Dic83C2×#4112yes—
735D332—44no—
736D332—44no—
737C4×D83—28no—
738C4×D83—28no—
739C4×D83—28no—
740C4×D83—28no—
741C4×D83—28no—
742C4×D83—28no—
743C4×D83—28no—
744C4×D83—28no—
745C4×D83—28no—
746C4×D83—28no—
747C4×D83—28no—
748C4×D83—28no—
749C4×D83—44no—
750Dic166—44no—
751C22×C83—22no—
752C22×C83—22no—
753C22×C83—22no—
754C22×C83—22no—
755C22×C83—22no—
756C22×C83—22no—
757C22×C83—41no—
758C22×C83—41no—
759C22×C83—41no—
760C22×C83—41no—
761C22×C83—41no—
762C22×C83—41no—
763C22×C83—41no—
764C22×C83#52914yescomplemented
765C22×C83C23×D411yescharacteristic
766C22×C83C22×#4111yescharacteristic
767C22×C83C22×#4111yescharacteristic
768C22×C83C22×#4111yescharacteristic
769C22×C83C22×#4111yescharacteristic
770C22×C83C22×#4111yescharacteristic
771C22×C83C22×#4111yescharacteristic
772C2×D83—232no—
773C2×D83—22no—
774C2×D83—22no—
775C2×D83—22no—
776C2×D83—22no—
777C2×D83—22no—
778C2×D83—22no—
779C2×D83—22no—
780C2×D83—22no—
781C2×D83—22no—
782C2×D83—22no—
783C2×D83—22no—
784C2×D83—22no—
785C2×D83—41no—
786C2×D83—41no—
787C2×D83—41no—
788C2×D83—41no—
789C2×D83—41no—
790C2×D83—41no—
791C2×D83—41no—
792C2×D83#52514yes—
793C2×D83#52914yescomplemented
794C4×C83—22no—
795C4×C83—22no—
796C4×C83—22no—
797C4×C83—22no—
798C4×C83—22no—
799C4×C83—22no—
800C4×C83—41no—
801C4×C83—41no—
802C4×C83—41no—
803C4×C83—41no—
804C4×C83—41no—
805C4×C83—41no—
806C4×C83—41no—
807Dic83—22no—
808Dic83—22no—
809Dic83—22no—
810Dic83—22no—
811Dic83—41no—
812Dic83—41no—
813Dic83—41no—
814Dic83—41no—
815Dic83—41no—
816Dic83—41no—
817Dic83—41no—
818Dic83#52514yes—
819Dic83#52514yes—
820#36621—831nomaximal, Sylow
821C2×C83—24no—
822C2×C83—81no—
823C2×C83C2×#52511yescharacteristic
824C2×C83C2×#52511yescharacteristic
825C2×C83C2×#52511yescharacteristic
826C2×C83C2×#52911yescharacteristic
827C2×C83C2×#52911yescharacteristic
828C2×C83#344411yescharacteristic
829C2×C83#344411yescharacteristic
830D83—24no—
831D83—24no—
832D83—81no—
833C2×#529—831no—
834C23×C42—831no—
835#2855—831no—
836#2854—831no—
837#2853—831no—
838#2853—831no—
839#2852—831no—
840#2852—831no—
841#2852—831no—
842#2852D8311yescharacteristic, complemented
843#2851—831no—
844#2851—831no—
845#2850—831no—
846#2850—831no—
847#2849—831no—
848#2849—831no—
849#2848—831no—
850#2847—831no—
851C4×C22⋊Q8—831no—
852C4×C22⋊Q8—831no—
853C4×#123—831no—
854C4×#123—831no—
855C4×#121—831no—
856C4×#121—831no—
857C4×#120—831no—
858C4×#120—831no—
859#2290—831no—
860#2290—831no—
861#2290—831no—
862#2290—831no—
863#2283—831no—
864C83#3662111yescharacteristic, complemented, Sylow
865C24×C4—831no—
866C24×C4—831no—
867C24×C4—831no—
868#529—1668no—
869C2×#126—831no—
870C2×#126C2×D8311yescharacteristic, complemented
871C2×#125—831no—
872C2×#124—831no—
873C2×#123—831no—
874C2×#123—831no—
875C2×#123—831no—
876C2×#123—831no—
877C2×C22⋊Q8—831no—
878C2×C22⋊Q8—831no—
879C2×C22⋊Q8—831no—
880C2×#121—831no—
881C2×#121—831no—
882C2×#121—831no—
883C2×#120—831no—
884C2×#120—831no—
885C2×C4×Q8—831no—
886C2×C4×D4—831no—
887C2×C4×D4—831no—
888C2×C4×D4—831no—
889C2×C4×D4—831no—
890C2×C4×D4—831no—
891C2×C4×D4—831no—
892C2×C4×D4—831no—
893C2×#117—831no—
894C2×#117—831no—
895C22×C42—831no—
896C22×C42—831no—
897C22×C42—831no—
898C22×C42—831no—
899C22×C42—831no—
900C22×C42—831no—
901C22×C42—831no—
902C22×C42—831no—
903C22×C42—831no—
904C22×C42—831no—
905C22×C42—831no—
906C22×C42—1668no—
907C22×C42C2×D8311yescharacteristic
908#391—831no—
909#391—831no—
910#390—831no—
911#390—831no—
912#389—831no—
913#389—831no—
914#389—831no—
915#389—831no—
916#388—831no—
917#388—831no—
918#388—831no—
919#388—831no—
920#388—831no—
921#388—831no—
922#388—831no—
923#388—831no—
924#388—831no—
925#388—831no—
926#388—831no—
927#388—831no—
928#388—831no—
929#388C2×D8311yescharacteristic, complemented
930#388C2×D8311yescharacteristic, complemented
931#388C2×D8311yescharacteristic, complemented
932#387—831no—
933#387—831no—
934#387—831no—
935#387—831no—
936#387—831no—
937#387—831no—
938#387—831no—
939#387—831no—
940#387—831no—
941#387—831no—
942#387—831no—
943#387—831no—
944#387—831no—
945#387C2×D8311yescharacteristic, complemented
946#387C2×D8311yescharacteristic, complemented
947#387C2×D8311yescharacteristic, complemented
948#386—831no—
949#386—831no—
950#386—831no—
951#386—831no—
952#386—831no—
953#386—831no—
954#386—831no—
955#386—831no—
956#386—831no—
957#386—831no—
958#386—831no—
959#386—831no—
960#386—831no—
961#386—831no—
962#386—831no—
963#386—831no—
964#386—831no—
965#386C2×D8311yescharacteristic
966#386C2×D8311yescharacteristic
967#386C2×D8311yescharacteristic
968#385—831no—
969#385—831no—
970#385—831no—
971#385—831no—
972#385—831no—
973#385—831no—
974#385—831no—
975#385—831no—
976#385—831no—
977#385—831no—
978#385—831no—
979#385—831no—
980#385—831no—
981#385—831no—
982#385—831no—
983#385—831no—
984#385—831no—
985#385C2×D8311yescharacteristic
986#385C2×D8311yescharacteristic
987#385C2×D8311yescharacteristic
988#383—831no—
989#383C2×D8311yescharacteristic, complemented
990#382—831no—
991#382—831no—
992#381—831no—
993#381—831no—
994#381—831no—
995#381—831no—
996#380—831no—
997#380—831no—
998#380—831no—
999#380—831no—
1000#380—831no—
1001#380—831no—
1002#379—831no—
1003#379—831no—
1004C4×C4⋊C4—831no—
1005C4×C4⋊C4—831no—
1006C4×C4⋊C4—831no—
1007C4×C4⋊C4—831no—
1008C4×C4⋊C4—831no—
1009C4×C4⋊C4—831no—
1010C4×C22⋊C4—831no—
1011C4×C22⋊C4—831no—
1012C4×C22⋊C4—831no—
1013C4×C22⋊C4—831no—
1014C4×C22⋊C4—831no—
1015C4×C22⋊C4—831no—
1016C4×C22⋊C4—831no—
1017C4×C22⋊C4—831no—
1018C4×C22⋊C4—831no—
1019C4×C22⋊C4—831no—
1020#376—831no—
1021#376—831no—
1022C25—831no—
1023C22×Q8—831no—
1024C22×D4—831no—
1025C22×D4—831no—
1026C22×D4—831no—
1027C22×D4—831no—
1028C22×D4—831no—
1029C22×D4—831no—
1030C22×D4C22×D8311yescharacteristic
1031C23×C4—831no—
1032C23×C4—831no—
1033C23×C4—831no—
1034C23×C4—831no—
1035C23×C4—831no—
1036C23×C4—831no—
1037C23×C4—831no—
1038C23×C4—831no—
1039C23×C4—831no—
1040C23×C4—831no—
1041C23×C4—831no—
1042C23×C4—831no—
1043C23×C4—831no—
1044C23×C4—831no—
1045C23×C4—831no—
1046C23×C4—831no—
1047C23×C4—831no—
1048C23×C4—1664no—
1049C23×C4—1664no—
1050C23×C4—1664no—
1051C23×C4—1664no—
1052C23×C4—1664no—
1053C23×C4—1664no—
1054C23×C4—1664no—
1055C23×C4—1664no—
1056C23×C4—1664no—
1057C23×C4C22×D8311yescharacteristic
1058C23×C4C22×D8311yescharacteristic
1059C23×C4C22×D8311yescharacteristic
1060#126—24no—
1061#126—1664no—
1062#125—1664no—
1063#124—1664no—
1064#123—1664no—
1065#123—1664no—
1066#123—1664no—
1067#123—1664no—
1068C22⋊Q8—1664no—
1069C22⋊Q8—1664no—
1070C22⋊Q8—1664no—
1071#121—1664no—
1072#121—1664no—
1073#121—1664no—
1074#120—1664no—
1075#120—1664no—
1076C4×Q8—1664no—
1077C4×D4—1664no—
1078C4×D4—1664no—
1079C4×D4—1664no—
1080C4×D4—1664no—
1081C4×D4—1664no—
1082C4×D4—1664no—
1083C4×D4—1664no—
1084#117—1664no—
1085#117—1664no—
1086C2×C4⋊C4—831no—
1087C2×C4⋊C4—831no—
1088C2×C4⋊C4—831no—
1089C2×C4⋊C4—831no—
1090C2×C4⋊C4—831no—
1091C2×C4⋊C4—831no—
1092C2×C4⋊C4—831no—
1093C2×C4⋊C4—831no—
1094C2×C4⋊C4—831no—
1095C2×C4⋊C4—831no—
1096C2×C4⋊C4—831no—
1097C2×C4⋊C4—831no—
1098C2×C4⋊C4—831no—
1099C2×C4⋊C4—831no—
1100C2×C4⋊C4—831no—
1101C2×C4⋊C4—831no—
1102C2×C4⋊C4—831no—
1103C2×C4⋊C4—831no—
1104C2×C4⋊C4—831no—
1105C2×C4⋊C4—831no—
1106C2×C4⋊C4C22×D8311yescharacteristic
1107C2×C4⋊C4C22×D8311yescharacteristic
1108C2×C4⋊C4C22×D8311yescharacteristic
1109C2×C4⋊C4C22×D8311yescharacteristic
1110C2×C4⋊C4C22×D8311yescharacteristic
1111C2×C4⋊C4C22×D8311yescharacteristic
1112C2×C22⋊C4—831no—
1113C2×C22⋊C4—831no—
1114C2×C22⋊C4—831no—
1115C2×C22⋊C4—831no—
1116C2×C22⋊C4—831no—
1117C2×C22⋊C4—831no—
1118C2×C22⋊C4—831no—
1119C2×C22⋊C4—831no—
1120C2×C22⋊C4—831no—
1121C2×C22⋊C4—831no—
1122C2×C22⋊C4—831no—
1123C2×C22⋊C4—831no—
1124C2×C22⋊C4—831no—
1125C2×C22⋊C4—831no—
1126C2×C22⋊C4—831no—
1127C2×C22⋊C4—831no—
1128C2×C22⋊C4—831no—
1129C2×C22⋊C4—831no—
1130C2×C22⋊C4—831no—
1131C2×C22⋊C4—831no—
1132C2×C22⋊C4—831no—
1133C2×C22⋊C4—831no—
1134C2×C22⋊C4—831no—
1135C2×C22⋊C4—831no—
1136C2×C22⋊C4—831no—
1137C2×C22⋊C4—831no—
1138C2×C22⋊C4—831no—
1139C2×C22⋊C4—831no—
1140C2×C22⋊C4—831no—
1141C2×C22⋊C4C22×D8311yescharacteristic
1142C2×C22⋊C4C22×D8311yescharacteristic
1143C2×C22⋊C4C22×D8311yescharacteristic
1144C2×C22⋊C4C22×D8311yescharacteristic
1145C2×C22⋊C4C22×D8311yescharacteristic
1146C2×C22⋊C4C22×D8311yescharacteristic
1147C2×C22⋊C4C22×D8311yescharacteristic
1148C2×C22⋊C4C22×D8311yescharacteristic
1149C2×C22⋊C4C22×D8311yescharacteristic
1150C2×C42—24no—
1151C2×C42—831no—
1152C2×C42—831no—
1153C2×C42—831no—
1154C2×C42—838no—
1155C2×C42—831no—
1156C2×C42—831no—
1157C2×C42—831no—
1158C2×C42—831no—
1159C2×C42—831no—
1160C2×C42—831no—
1161C2×C42—831no—
1162C2×C42—831no—
1163C2×C42—831no—
1164C2×C42—831no—
1165C2×C42—831no—
1166C2×C42—831no—
1167C2×C42—831no—
1168C2×C42—831no—
1169C2×C42—831no—
1170C2×C42—1664no—
1171C2×C42—1664no—
1172C2×C42—1664no—
1173C2×C42—1664no—
1174C2×C42—1664no—
1175C2×C42—1664no—
1176C2×C42—1664no—
1177C2×C42—1664no—
1178C2×C42—1664no—
1179C2×C42—1664no—
1180C2×C42C22×D8311yescharacteristic
1181C2×C42C22×D8311yescharacteristic
1182C2×C42C22×D8311yescharacteristic
1183C2×C42C22×D8311yescharacteristic
1184#95—831no—
1185#95—831no—
1186#95—831no—
1187#95—831no—
1188#95—831no—
1189#95—831no—
1190#95—831no—
1191#95—831no—
1192#95—831no—
1193#95—831no—
1194#95—831no—
1195#95—831no—
1196#95—831no—
1197#95—831no—
1198#95—831no—
1199#95—831no—
1200#95—831no—
1201#95—831no—
1202#95—831no—
1203#95—831no—
1204#95—831no—
1205#95—831no—
1206#95—831no—
1207#95—831no—
1208#95—831no—
1209#95—831no—
1210#95—831no—
1211#95—831no—
1212#95C22×D8311yescharacteristic
1213#95C22×D8311yescharacteristic
1214#95C22×D8311yescharacteristic
1215#95C22×D8311yescharacteristic
1216#95C22×D8311yescharacteristic
1217#95C22×D8311yescharacteristic
1218#95C22×D8311yescharacteristic
1219#95C22×D8311yescharacteristic
1220#95C22×D8311yescharacteristic
1221#95C22×D8311yescharacteristic
1222#95C22×D8311yescharacteristic
1223#95C22×D8311yescharacteristic
1224C24—831no—
1225C24—831no—
1226C24—834no—
1227C24—831no—
1228C24—1662no—
1229C24—1662no—
1230C24—1662no—
1231C24—1662no—
1232C24—1662no—
1233C24—1662no—
1234C24C23×D8311yescharacteristic
1235C24C23×D8311yescharacteristic
1236C2×Q8—1662no—
1237C2×Q8—1662no—
1238C2×Q8—1662no—
1239C2×D4—22no—
1240C2×D4—22no—
1241C2×D4—22no—
1242C2×D4—1662no—
1243C2×D4—1662no—
1244C2×D4—1662no—
1245C2×D4—1662no—
1246C2×D4—1662no—
1247C2×D4—1662no—
1248C2×D4—1662no—
1249C2×D4—1662no—
1250C2×D4—1662no—
1251C2×D4—1662no—
1252C2×D4—1662no—
1253C2×D4—1662no—
1254C2×D4—1662no—
1255C2×D4—1662no—
1256C2×D4—1662no—
1257C2×D4—1662no—
1258C2×D4—1662no—
1259C2×D4—1662no—
1260C22×C4—22no—
1261C22×C4—22no—
1262C22×C4—22no—
1263C22×C4—22no—
1264C22×C4—22no—
1265C22×C4—22no—
1266C22×C4—22no—
1267C22×C4—22no—
1268C22×C4—22no—
1269C22×C4—831no—
1270C22×C4—831no—
1271C22×C4—834no—
1272C22×C4—834no—
1273C22×C4—831no—
1274C22×C4—831no—
1275C22×C4—831no—
1276C22×C4—831no—
1277C22×C4—834no—
1278C22×C4—834no—
1279C22×C4—834no—
1280C22×C4—834no—
1281C22×C4—834no—
1282C22×C4—834no—
1283C22×C4—831no—
1284C22×C4—831no—
1285C22×C4—831no—
1286C22×C4—831no—
1287C22×C4—831no—
1288C22×C4—831no—
1289C22×C4—831no—
1290C22×C4—1662no—
1291C22×C4—1662no—
1292C22×C4—1662no—
1293C22×C4—1662no—
1294C22×C4—1662no—
1295C22×C4—1662no—
1296C22×C4—1662no—
1297C22×C4—1662no—
1298C22×C4—1662no—
1299C22×C4—1662no—
1300C22×C4—1662no—
1301C22×C4—1662no—
1302C22×C4—1662no—
1303C22×C4—1662no—
1304C22×C4—1662no—
1305C22×C4—1662no—
1306C22×C4—1662no—
1307C22×C4—1662no—
1308C22×C4—1662no—
1309C22×C4—1662no—
1310C22×C4—1662no—
1311C22×C4—1662no—
1312C22×C4—1662no—
1313C22×C4—1662no—
1314C22×C4—1662no—
1315C22×C4—1662no—
1316C22×C4—1662no—
1317C22×C4—16632no—
1318C22×C4—16632no—
1319C22×C4—16632no—
1320C22×C4—1662no—
1321C22×C4—1662no—
1322C22×C4—1662no—
1323C22×C4—1662no—
1324C22×C4—1662no—
1325C22×C4—1662no—
1326C22×C4—1662no—
1327C22×C4—1662no—
1328C22×C4—1662no—
1329C22×C4—1662no—
1330C22×C4—1662no—
1331C22×C4—1662no—
1332C22×C4—1662no—
1333C22×C4—1662no—
1334C22×C4—1662no—
1335C22×C4—1662no—
1336C22×C4C23×D8311yescharacteristic
1337C22×C4C23×D8311yescharacteristic
1338C22×C4C23×D8311yescharacteristic
1339C22×C4C23×D8311yescharacteristic
1340C22×C4C23×D8311yescharacteristic
1341C22×C4C23×D8311yescharacteristic
1342C22×C4C23×D8311yescharacteristic
1343C22×C4C23×D8311yescharacteristic
1344C22×C4C23×D8311yescharacteristic
1345C22×C4C23×D8311yescharacteristic
1346C22×C4C23×D8311yescharacteristic
1347C22×C4C23×D8311yescharacteristic
1348C22×C4C23×D8311yescharacteristic
1349C4⋊C4—22no—
1350C4⋊C4—22no—
1351C4⋊C4—22no—
1352C4⋊C4—22no—
1353C4⋊C4—22no—
1354C4⋊C4—22no—
1355C4⋊C4—1662no—
1356C4⋊C4—1662no—
1357C4⋊C4—1662no—
1358C4⋊C4—1662no—
1359C4⋊C4—1662no—
1360C4⋊C4—1662no—
1361C4⋊C4—1662no—
1362C4⋊C4—1662no—
1363C4⋊C4—1662no—
1364C4⋊C4—1662no—
1365C4⋊C4—1662no—
1366C4⋊C4—1662no—
1367C4⋊C4—1662no—
1368C4⋊C4—1662no—
1369C4⋊C4—1662no—
1370C4⋊C4—1662no—
1371C4⋊C4—1662no—
1372C4⋊C4—1662no—
1373C4⋊C4—1662no—
1374C4⋊C4—1662no—
1375C22⋊C4—22no—
1376C22⋊C4—22no—
1377C22⋊C4—22no—
1378C22⋊C4—22no—
1379C22⋊C4—22no—
1380C22⋊C4—22no—
1381C22⋊C4—22no—
1382C22⋊C4—22no—
1383C22⋊C4—22no—
1384C22⋊C4—1662no—
1385C22⋊C4—1662no—
1386C22⋊C4—1662no—
1387C22⋊C4—1662no—
1388C22⋊C4—1662no—
1389C22⋊C4—1662no—
1390C22⋊C4—1662no—
1391C22⋊C4—1662no—
1392C22⋊C4—1662no—
1393C22⋊C4—1662no—
1394C22⋊C4—1662no—
1395C22⋊C4—1662no—
1396C22⋊C4—1662no—
1397C22⋊C4—1662no—
1398C22⋊C4—1662no—
1399C22⋊C4—1662no—
1400C22⋊C4—1662no—
1401C22⋊C4—1662no—
1402C22⋊C4—1662no—
1403C22⋊C4—1662no—
1404C22⋊C4—1662no—
1405C22⋊C4—1662no—
1406C22⋊C4—1662no—
1407C22⋊C4—1662no—
1408C22⋊C4—1662no—
1409C22⋊C4—1662no—
1410C22⋊C4—1662no—
1411C22⋊C4—1662no—
1412C22⋊C4—1662no—
1413C42—22no—
1414C42—22no—
1415C42—22no—
1416C42—834no—
1417C42—834no—
1418C42—834no—
1419C42—1662no—
1420C42—1662no—
1421C42—1662no—
1422C42—1662no—
1423C42—1662no—
1424C42—1662no—
1425C42—1662no—
1426C42—1662no—
1427C42—1662no—
1428C42—1662no—
1429C42—1662no—
1430C42—1662no—
1431C42—1662no—
1432C42—1662no—
1433C42—1662no—
1434C42D4×D8314yes—
1435C23—21no—
1436C23—21no—
1437C23—21no—
1438C23—21no—
1439C23—21no—
1440C23—21no—
1441C23—21no—
1442C23—21no—
1443C23—21no—
1444C23—21no—
1445C23—21no—
1446C23—832no—
1447C23—832no—
1448C23—832no—
1449C23—832no—
1450C23—832no—
1451C23—832no—
1452C23—1668no—
1453C23—1668no—
1454C23—1668no—
1455C23—1668no—
1456C23—1668no—
1457C23—1668no—
1458C23—1661no—
1459C23—1661no—
1460C23—1661no—
1461C23—1661no—
1462C23—1661no—
1463C23—1661no—
1464C23—1661no—
1465C23—1668no—
1466C23—1661no—
1467C23—1661no—
1468C23—1661no—
1469C23—1661no—
1470C23—1661no—
1471C23—1661no—
1472C23—1661no—
1473C23—1661no—
1474C23#41×D8312yes—
1475C23#41×D8312yes—
1476C23#41×D8312yes—
1477C23C24×D8311yescharacteristic
1478Q8—3324no—
1479D4—44no—
1480D4—3324no—
1481D4—3324no—
1482D4—3324no—
1483D4—3324no—
1484D4—3324no—
1485D4—3324no—
1486C2×C4—28no—
1487C2×C4—28no—
1488C2×C4—28no—
1489C2×C4—21no—
1490C2×C4—21no—
1491C2×C4—21no—
1492C2×C4—21no—
1493C2×C4—21no—
1494C2×C4—21no—
1495C2×C4—21no—
1496C2×C4—21no—
1497C2×C4—21no—
1498C2×C4—21no—
1499C2×C4—21no—
1500C2×C4—21no—
1501C2×C4—21no—
1502C2×C4—21no—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—21no—
1510C2×C4—21no—
1511C2×C4—21no—
1512C2×C4—21no—
1513C2×C4—21no—
1514C2×C4—21no—
1515C2×C4—21no—
1516C2×C4—21no—
1517C2×C4—21no—
1518C2×C4—21no—
1519C2×C4—21no—
1520C2×C4—21no—
1521C2×C4—21no—
1522C2×C4—3324no—
1523C2×C4—3324no—
1524C2×C4—832no—
1525C2×C4—832no—
1526C2×C4—832no—
1527C2×C4—832no—
1528C2×C4—832no—
1529C2×C4—832no—
1530C2×C4—832no—
1531C2×C4—832no—
1532C2×C4—832no—
1533C2×C4—832no—
1534C2×C4—1668no—
1535C2×C4—1668no—
1536C2×C4—1668no—
1537C2×C4—1668no—
1538C2×C4—1668no—
1539C2×C4—1668no—
1540C2×C4—1668no—
1541C2×C4—1668no—
1542C2×C4—1668no—
1543C2×C4—1668no—
1544C2×C4—1668no—
1545C2×C4—1668no—
1546C2×C4—1661no—
1547C2×C4—1661no—
1548C2×C4—1661no—
1549C2×C4—1661no—
1550C2×C4—1661no—
1551C2×C4—1661no—
1552C2×C4—1661no—
1553C2×C4—1661no—
1554C2×C4—1661no—
1555C2×C4—1661no—
1556C2×C4—1661no—
1557C2×C4—1661no—
1558C2×C4—1661no—
1559C2×C4—1661no—
1560C2×C4—1661no—
1561C2×C4—1661no—
1562C2×C4—1661no—
1563C2×C4—1661no—
1564C2×C4—1661no—
1565C2×C4—1661no—
1566C2×C4—1661no—
1567C2×C4—1668no—
1568C2×C4—1668no—
1569C2×C4—1668no—
1570C2×C4—1661no—
1571C2×C4—1661no—
1572C2×C4—1661no—
1573C2×C4—1661no—
1574C2×C4—1661no—
1575C2×C4—1661no—
1576C2×C4—1661no—
1577C2×C4—1661no—
1578C2×C4C2×D4×D8312yes—
1579C2×C4C2×D4×D8312yes—
1580C2×C4C2×D4×D8312yes—
1581C2×C4#41×D8312yes—
1582C2×C4#41×D8312yes—
1583C2×C4#41×D8312yes—
1584C22—22no—
1585C22—22no—
1586C22—22no—
1587C22—22no—
1588C22—22no—
1589C22—22no—
1590C22—41no—
1591C22—41no—
1592C22—41no—
1593C22—41no—
1594C22—41no—
1595C22—41no—
1596C22—41no—
1597C22—3321no—
1598C22—3321no—
1599C22—3321no—
1600C22—3321no—
1601C22—3321no—
1602C22—3321no—
1603C22—3321no—
1604C22—834no—
1605C22—834no—
1606C22—16632no—
1607C22—1662no—
1608C22—1662no—
1609C22—1662no—
1610C22—1662no—
1611C22—1662no—
1612C22—1662no—
1613C22—1662no—
1614C22—1662no—
1615C22—1662no—
1616C22—1662no—
1617C22—1662no—
1618C22—1662no—
1619C22#1912823414yescomplemented
1620C22C22×D4×D8311yescharacteristic
1621C22C2×#41×D8311yescharacteristic
1622C22C2×#41×D8311yescharacteristic
1623C22C2×#41×D8311yescharacteristic
1624C22C2×#41×D8311yescharacteristic
1625C22C2×#41×D8311yescharacteristic
1626C22C2×#41×D8311yescharacteristic
1627C4—22no—
1628C4—22no—
1629C4—22no—
1630C4—22no—
1631C4—22no—
1632C4—22no—
1633C4—41no—
1634C4—41no—
1635C4—41no—
1636C4—41no—
1637C4—41no—
1638C4—41no—
1639C4—41no—
1640C4—3321no—
1641C4—3321no—
1642C4—3321no—
1643C4—3321no—
1644C4—3321no—
1645C4—3321no—
1646C4—3321no—
1647C4—834no—
1648C4—834no—
1649C4—1662no—
1650C4—1662no—
1651C4—1662no—
1652C4—1662no—
1653C2—24no—
1654C2—81no—
1655C2—6641no—
1656C2—1664no—
1657C2—1664no—
1658C2#525×D8311yescharacteristic
1659C2#525×D8311yescharacteristic
1660C2#525×D8311yescharacteristic
1661C2#529×D8311yescharacteristic
1662C2C2×#1912823411yescharacteristic
1663C2#2492075711yescharacteristic
1664C2#2492075711yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2852C2
prime radical#24915744C2
hypercenter#2852D83
hypocenterC83#36621
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2852

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#19128234C2semidirect
2. C22×C42×D83C2semidirect
3. #24915798C2semidirect
4. #24915790C2semidirect
5. #24915787C2semidirect
6. #24915783C2semidirect
7. #24915779C2semidirect
8. #24915778C2semidirect
9. #24915775C2semidirect
10. #24915770C2semidirect
11. #24915769C2semidirect
12. #24915761C2semidirect
13. #24915760C2semidirect
14. #24915758C2semidirect
15. #24915754C2semidirect
16. #24915749C2semidirect
18. #24909997C2semidirect
19. #24909995C2semidirect
20. #24909990C2semidirect
21. #24909984C2semidirect
22. #24909975C2semidirect
23. #24909973C2semidirect
24. #24909968C2semidirect
25. #24909964C2semidirect
26. #24909905C2semidirect
27. #24909903C2semidirect
28. #24909901C2semidirect
29. #24909899C2semidirect
30. #24909860C2semidirect
31. C83×#2852C2semidirect
36. C2×#14581786C22semidirect
37. C2×#14581782C22semidirect
38. C2×#14581778C22semidirect
51. C2×#14581757C22semidirect
58. C2×(C22⋊D83)⋊C4C22semidirect
59. C2×#14581750C22semidirect
60. C2×#14581748C22semidirect
73. #19127605C22semidirect
74. #19127605C22semidirect
75. #19127601C22semidirect
76. #19127601C22semidirect
77. #19127598C22semidirect
78. #19127598C22semidirect
79. #19127596C22semidirect
80. #19127596C22semidirect
81. #19127595C22semidirect
82. #19127594C22semidirect
83. #19127593C22semidirect
84. #19127593C22semidirect
85. #19127593C22semidirect
86. #19127592C22semidirect
87. #19127592C22semidirect
88. #19127592C22semidirect
89. #19127591C22semidirect
90. #19127590C22semidirect
91. #19127589C22semidirect
92. #19127589C22semidirect
93. #19127589C22semidirect
94. #19127588C22semidirect
95. #19127587C22semidirect
96. #19127586C22semidirect
97. #19127586C22semidirect
98. #19127586C22semidirect
99. #19127585C22semidirect
100. #19127585C22semidirect
101. #19127585C22semidirect
102. #19127584C22semidirect
103. #19127583C22semidirect
104. #19127582C22semidirect
105. #19127582C22semidirect
106. #19127582C22semidirect
141. #19127569C22semidirect
142. #19127565C22semidirect
143. #19127565C22semidirect
156. C4⋊C4×Dic83C22semidirect
157. C4⋊C4×Dic83C22semidirect
158. #19127552C22semidirect
159. #19127552C22semidirect
160. #19127552C22semidirect
161. #19127552C22semidirect
164. C22⋊C4×Dic83C22semidirect
165. C22⋊C4×Dic83C22semidirect
170. #19127548C22semidirect
171. #19127548C22semidirect
172. #19127546C22semidirect
173. #19127546C22semidirect
174. C2×#126×C83C22semidirect
176. #388×C83C22semidirect
177. #388×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
180. #387×C83C22semidirect
181. #387×C83C22semidirect
188. #383×C83C22semidirect
325. C42×D83D4semidirect
764. C22×C83#529semidirect
793. C2×D83#529semidirect
842. #2852D83semidirect
864. C83#36621semidirect
870. C2×#126C2×D83semidirect
929. #388C2×D83semidirect
930. #388C2×D83semidirect
931. #388C2×D83semidirect
945. #387C2×D83semidirect
946. #387C2×D83semidirect
947. #387C2×D83semidirect
989. #383C2×D83semidirect
1619. C22#19128234semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#191282342
C22×C42×D832
#249157982
#249157902
#249157872
#249157832
#249157792
#249157782
#249157752
#249157702
#249157692
#249157612
#249157602
#249157582
#249157542
#249157492
#249157442
#249099972
#249099952
#249099902
#249099842
#249099752
#249099732
#249099682
#249099642
#249099052
#249099032
#249099012
#249098992
#249098602
C83×#28522
#3662183